List of Necessary and Unnecessary EquationsPhysics 260MWF 10:30-11:30 Dr. WombleName:_______________________________THE MORE WORK SHOWN, THE MORE CREDIT GIVEN!Constants:k=o41 = 9 x 109 Nm2/C2o = 8.85 x 10-12 C2/ Nm20 = 4 x 10-7 Tm/Amass electron, me = 9.11 x 10-31 kgelectron charge, e = -1.6 x 10-19 CConversions:1 eV =1.6 x 10-19 J1) The arrows in the object below indicate the initial orientation of magnetic dipoles in the material of which the object is composed. An external magnetic field, Bext, which is directed toward the left of the page is turned on.a) If the material of the object is ferromagnetic, what is the orientation of the magnetic dipoles after the external magnetic field is applied? What are typical values of the magnetic susceptibility, ?b) If the material of the object is paramagnetic, what is the orientation of the magnetic dipoles after the external magnetic field is applied? Are there more or less dipoles reacting to the external field in the paramagnetic material than the ferromagnetic material? c) If the material of the object is diamagnetic, what is the orientation of the magneticdipoles after the external magnetic field is applied? Are there more or less dipoles reacting to the external field in the diamagnetic material than the ferromagnetic material?Bextabc2) The figure below shows a cross-section of a coaxial cable and gives its radii (a,b,c). Equal but opposite currents i are uniformly distributed in the two conductors. Derive expressions for the magnetic field B(r) for the following regions in:Hint: The left hand side of Ampere’s Law for this geometry is )2( rBdsBa) r < ab) a < r < bc) b< r <cd) r > c3) An electron of mass, m, orbits an atom that has 19 protons at a radius of r with a speed v .Treating the circular path as a current loop with constant current equal to its average current,find the magnetic dipole moment, , of the atom as a function of the orbital angularmomentum, L.50 BE4) A rectangular coil of 10 turns and of length 10 cm and width, 25 cm, is rotated at frequency of 60 Hz in a uniform magnetic field B= 10 mT as shown in the figure below. The coil is connected to co-rotating cylinders against which metal brushes slide to make contact. If the co-rotating cylinders are attached to a 50  resistor, whatis the current flowing through the resistor?5) The magnitude of the electric field between two parallel plates shown in the figure below is E = (-5 x 106 )t + 4 x107 with E in volts/meter and t in seconds. At t=0, the field is downward as shown. The plate area is 5 x 10-1 m2. a) For t0, what are the magnitude and direction of thedisplacement current between the plates?b) Is the direction of the induced magnetic field clockwise or counterclockwise around the plates?List of Necessary and Unnecessary Equations1. F = 22141rqqo2. F=qE3.E = rˆ412rqo4. E = qF5.aE d6.encoq7. E=o8. E=o29. E = ro210. V = qW11.Vf - Vi = fidsE12. V= rqo4113. V=niiioniirqV114114. Es= -sV15. i =  AJ d16. R= iV17.JE118. R =AL19. P= iV = i2R = RV220. Fc = rmv221. K = ½ mv222. L = mvr23. T =vr224. f=T125. F = q v  B26. F = i L  B27.  = N i A28. dB = 2ˆ4ridors 29. B =rio230. B =rio231. B= 0 i n32.encid0sB33. Fba= ibLBa34.B  dA 035.E s d -ddtB36.B s  dddti0 0E0 enc  37. E=dtd-B38. id =dtd E039. E = i